126774648 has 192 divisors, whose sum is σ = 461260800. Its totient is φ = 30378240.

The previous prime is 126774619. The next prime is 126774649. The reversal of 126774648 is 846477621.

It is a super-2 number, since 2×126774648² = 32143622751047808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126774649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71193 + ... + 72951.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2^126774648 is an apocalyptic number.

126774648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126774648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230630400).

126774648 is an abundant number, since it is smaller than the sum of its proper divisors (334486152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126774648 is a wasteful number, since it uses less digits than its factorization.

126774648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1795 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 126774648 is about 11259.4248520961. The cubic root of 126774648 is about 502.3550870469.

The spelling of 126774648 in words is "one hundred twenty-six million, seven hundred seventy-four thousand, six hundred forty-eight".